15 POINTS PLZ HELP It’s all in pic
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Based on the SSS similarity theorem, the pair of triangles that can be proven to be similar is the pair shown in the image attached below.
<h3>What is the SSS Similarity Theorem?</h3>The SSS similarity theorem states that two triangle area similar to each other if the ratio of the three corresponding sides of both triangles are equal.
Thus, in the image attached below, the ratio of the three corresponding sides of the pair of triangles are:
10/2.5 = 11/2.75 = 8/2 = 4
Therefore, the pair of triangles that we can prove to be similar using the SSS similarity theorem is the pair shown in the image attached below.
Learn more about the SSS similarity theorem on:
#SPJ1
Step-by-step explanation:
Given : AD=CD and
∠3=∠4
To prove : Line DB bisects ∠ABC
i.e.∠ABD=∠CBD
Proof : Consider ΔABD and ΔCBD,
and
and
So, ΔABD ≅ ΔCBD (By SAS criterion}
Hence , By CPCT (corresponding part of congruent triangle}
∠ABD=∠CBD
Therefore, Line DB bisects ∠ABC.